A non-abelian Stickelberger theorem

Speaker: Dr. Henri Johnston (Cambridge)

Time: 4:00PM
Date: Wed 14th April 2010

Location: Mathematical Sciences Seminar Room

Let L/k be a finite Galois extension of number fields with Galois group G (not necessarily abelian). For every odd prime p satisfying certain mild technical hypotheses, we use values of Artin L-functions to construct an element in the centre of the group ring Z_{(p)}[G] that annihilates the p-part of the class group of L. This is joint work with David Burns (King's College London).

(This talk is part of the K-Theory, Quadratic Forms and Number Theory series.)